Georgia Performance Standards (GPS – 3rd grade)
M3M3 Understand and measure perimeter of simple geometric figures (squares/rectangles). (a) Understand meaning of the linear unit in measuring perimeter. (b) Understand perimeter as being the boundary of a simple geometric figure. (c) Determine perimeter of a simple geometric figure by measuring and summing the lengths of the sides.
M3M4 Understand and measure the area of simple geometric figures (squares and rectangles). (a) Understand meaning of the square unit. (b) Model (by tiling) the area of a simple geometric figure using square units. (c) Determine area of squares and rectangles by counting, adding, and multiplying with models.
M3N5 Understand the meaning of decimals and common fractions in simple cases and apply them in problem-solving situations. (a) Understand decimal (i.e., 0.1) and a common fraction (i.e., 1/10) represent parts of a whole. (b) The fraction a/b represents a equal sized parts of a whole that is divided into b equal sized parts. (d) Know and use decimals and common fractions to represent the size of parts created by equal divisions of a whole.
M3N4 Understand the meaning of division and develop ability to apply it in problem solving. (b) Recognize that division… is determining the size of the parts when the whole is separated into a given number of equal parts as in a sharing model. (c) Recognize problem-solving situations in which division may be applied f) Solve problems requiring division.
National Council for Teachers of Mathematics (NCTM)
Measurement Standard for Grades 3–5
Explore what happens to measurements of a two-dimensional shape such as its perimeter and area when the shape is changed in some way.
Number and Operations Standard for Grades 3–5
Recognize equivalent representations for the same number and generate them by decomposing and composing numbers. Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.